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LaTeX Math Block
anchorQF556
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\frac{q}{q_{\rm max}} = 1 - a \, \frac{p_{wf}}{p_r} - (1-a) \Bigg(\frac{p_{wf}}{p_r} \Bigg)^2  \quad , \quad p_b > p_r > p_{wf}, \quad \{ 0<a<1 \}


where

LaTeX Math Inline
bodyq = q_O

surface production rate of rate

LaTeX Math Inline
bodyq_{\rm max}

Absolute Open Flow (AOL) for oil

LaTeX Math Inline
bodyp_{wf}

bottom-hole pressure (BHP)

LaTeX Math Inline
bodyp_r

drainarea formation pressure

LaTeX Math Inline
bodyp_b

bubble-point pressure

LaTeX Math Inline
bodya

model parameter 

LaTeX Math Inline
body\{ 0<a<1 \}


This is a generalisation of Vogel model and reduces to Vogel model for

LaTeX Math Inline
bodya = 0.2
.

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